Unambiguous identification of coherent states. II. Multiple resources

Michal Sedlák, Mário Ziman, Vladimír Bužek, and Mark Hillery
Phys. Rev. A 79, 062305 – Published 9 June 2009

Abstract

We analyze unambiguous identification of coherent states of an electromagnetic field. In particular, we study possible generalizations of an optical setup proposed in Sedlák et al. [Phys. Rev. A 76, 022326 (2007)]. We show how the unambiguous identification of coherent states can be performed in a general case when multiple copies of unknown and reference states are available. Under the condition that the experimental setup consists only of linear optical elements and photodetectors, we prove the optimality of the setup. We also investigate whether reference states after the measurement can be “recovered” and further used for subsequent unambiguous identification tasks. We show that in spite of the fact that the recovered reference states are disturbed by measurements, they can be repeatedly used for unambiguous identifications. We analyze the influence of particular type of noise in the preparation of the unknown and the reference coherent states on the performance of our unambiguous-identification setup.

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  • Received 21 January 2009

DOI:https://doi.org/10.1103/PhysRevA.79.062305

©2009 American Physical Society

Authors & Affiliations

Michal Sedlák1,3, Mário Ziman1,2, Vladimír Bužek1,3, and Mark Hillery4

  • 1Research Center for Quantum Information, Institute of Physics, Slovak Academy of Sciences, Dúbravská cesta 9, 845 11 Bratislava, Slovakia
  • 2Faculty of Informatics, Masaryk University, Botanická 68a, 602 00 Brno, Czech Republic
  • 3Quniverse, Líščie údolie 116, 841 04 Bratislava, Slovakia
  • 4Department of Physics and Astronomy, Hunter College of the City University of New York, 695 Park Avenue, New York, New York 10021, USA

See Also

Unambiguous identification of coherent states: Searching a quantum database

Michal Sedlák, Mário Ziman, Ondřej Přibyla, Vladimír Bužek, and Mark Hillery
Phys. Rev. A 76, 022326 (2007)

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Vol. 79, Iss. 6 — June 2009

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